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20313131641434 = 23331711631048517
BaseRepresentation
bin1001001111001100001001…
…11111101110101001011010
32122220220202001220000222000
410213212010333232221122
510130302243200011214
6111111420203541430
74164401224040202
oct447460477565132
978826661800860
1020313131641434
116521829281965
1223409a282a876
13b4469b855c78
145032373d5402
152535d02eb809
hex127984feea5a

20313131641434 has 128 divisors (see below), whose sum is σ = 47542658088960. Its totient is φ = 6420692577600.

The previous prime is 20313131641393. The next prime is 20313131641447. The reversal of 20313131641434 is 43414613131302.

20313131641434 is a `hidden beast` number, since 2 + 0 + 3 + 1 + 3 + 1 + 3 + 1 + 641 + 4 + 3 + 4 = 666.

It is a super-2 number, since 2×203131316414342 (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18848944 + ... + 19897460.

It is an arithmetic number, because the mean of its divisors is an integer number (371427016320).

Almost surely, 220313131641434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20313131641434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23771329044480).

20313131641434 is an abundant number, since it is smaller than the sum of its proper divisors (27229526447526).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20313131641434 is a wasteful number, since it uses less digits than its factorization.

20313131641434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048793 (or 1048787 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 20313131641434 its reverse (43414613131302), we get a palindrome (63727744772736).

The spelling of 20313131641434 in words is "twenty trillion, three hundred thirteen billion, one hundred thirty-one million, six hundred forty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 31 54 62 71 93 142 163 186 213 279 326 426 489 558 639 837 978 1278 1467 1674 1917 2201 2934 3834 4401 4402 5053 6603 8802 10106 11573 13206 15159 19809 23146 30318 34719 39618 45477 59427 69438 90954 104157 118854 136431 208314 272862 312471 358763 624942 717526 1048517 1076289 2097034 2152578 3145551 3228867 6291102 6457734 9436653 9686601 18873306 19373202 28309959 32504027 56619918 65008054 74444707 97512081 148889414 170908271 195024162 223334121 292536243 341816542 446668242 512724813 585072486 670002363 877608729 1025449626 1340004726 1538174439 1755217458 2010007089 2307785917 3076348878 4020014178 4614523317 4615571834 5298156401 6923357751 9229046634 10596312802 12134487241 13846715502 15894469203 20770073253 24268974482 31788938406 36403461723 41540146506 47683407609 62310219759 72806923446 95366815218 109210385169 124620439518 143050222827 218420770338 286100445654 327631155507 376169104471 655262311014 752338208942 1128507313413 2257014626826 3385521940239 6771043880478 10156565820717 20313131641434